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Finding the Third Proportional to 38,288,002.50 and 84,014,538.75

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Solution

The third proportional to 38,288,002.50 and 84,014,538.75 is: 184,351,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288,002.50 : 84,014,538.75 = 84,014,538.75 : x
  2. Step 2: Convert to fraction form
    38,288,002.50/84,014,538.75 = 84,014,538.75/x
  3. Step 3: Cross multiply
    38,288,002.50x = 84,014,538.75 × 84,014,538.75
  4. Step 4: Simplify right side
    38,288,002.50x = 7,058,442,721,375,252
  5. Step 5: Solve for x
    x = 7,058,442,721,375,252/38,288,002.50
  6. Step 6: Final answer
    x = 184,351,291.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.